4934400 has 108 divisors (see below), whose sum is σ = 16347912. Its totient is φ = 1310720.

The previous prime is 4934399. The next prime is 4934401. The reversal of 4934400 is 44394.

It is an interprime number because it is at equal distance from previous prime (4934399) and next prime (4934401).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4934401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19072 + ... + 19328.

Almost surely, 2^4934400 is an apocalyptic number.

4934400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8173956).

4934400 is an abundant number, since it is smaller than the sum of its proper divisors (11413512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4934400 is a wasteful number, since it uses less digits than its factorization.

4934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4934400 is about 2221.3509403064. The cubic root of 4934400 is about 170.2464706305.

Adding to 4934400 its reverse (44394), we get a palindrome (4978794).

The spelling of 4934400 in words is "four million, nine hundred thirty-four thousand, four hundred".